Printable · GCSE Foundation · ages 14-16
Algebra worksheet — GCSE Foundation
Fifteen questions across the algebra statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Foundation
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- 1.A taxi charges a fixed fee of £3 plus £2 for every mile travelled. The journey is m miles. Write down an expression for the total cost, in pounds.
- 2.Work out the value of 3b − 4 when b = 6
- 3.Solve the inequality x − 10 < −3.
- 4.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 5.A plumber charges a call-out fee plus an hourly rate for a job. The total cost, £C, for a job lasting h hours is given by the formula C = 40 + 25h. What does the number 40 represent in this formula?
- 6.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.
- 7.A table shows y = x² − 6x + 5 at these points (x, y): (0, 5), (1, 0), (2, −3), (3, −4), (4, −3), (5, 0), (6, 5). Using the symmetry shown, write down the x-coordinate of the turning point.y = x² − 6x + 5
- 8.A geometric sequence begins 162, 54, 18, 6, ... Work out the next term in the sequence.
- 9.Make x the subject of the formula y = 4(x − 6).
- 10.A company's profit was £2000 in its first year. Each following year, the profit increases by £800. Work out the first year in which the profit is more than £7000.
- 11.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.
- 12.The point B has coordinates (−2, −2). In which quadrant is B?
- 13.Which of these is a term, rather than a whole expression, an equation, or a formula?
- 14.Which expression means 'triple c, then add double d'?
- 15.Expand 4(2x − 3).
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